After the advent of tropical geometry, the tropical analogues of many classical results in algebraic geometry were found. Baker and Norine [1]} proved a Riemann-Roch theorem for graphs, which was successively extended by Gathmann and Kerber [2]} and Mikhalkin and Zharkov [3]} to metric graphs, namely (abstract) tropical curves. The analogue notion of Weierstrass points on graphs was studied for instance in [4]} and [5]}.
